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Finding the Fourth Proportional to 987.24, 1,485.02 and 823.22

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Solution

The fourth proportional to 987.24, 1,485.02 and 823.22 is: 1,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.24 : 1,485.02 = 823.22 : x
  2. Step 2: Convert to fraction form
    987.24/1,485.02 = 823.22/x
  3. Step 3: Cross multiply
    987.24x = 1,485.02 × 823.22
  4. Step 4: Simplify right side
    987.24x = 1,222,486.62
  5. Step 5: Solve for x
    x = 1,222,486.62/987.24
  6. Step 6: Final answer
    x = 1,238.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.